\begin{tikzpicture}
    \tkzDefPoints{0/0/B, 3.0/0/C, 1.5/2.5/A}
    \tkzDefPointOnLine[pos=0.6](A,B)  \tkzGetPoint{D}
    \tkzDefPointOnLine[pos=0.6](A,C)  \tkzGetPoint{E}
    \tkzInterLL(B,E)(C,D)  \tkzGetPoint{O}

    \tkzDrawSegments(A,B  A,C  B,E  C,D)
    \tkzLabelPoints[above](A)
    \tkzLabelPoints[left](B,D)
    \tkzLabelPoints[right](C,E)
    \tkzLabelPoints[below](O)
\end{tikzpicture}

